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Question

The differential coefficient of sec1(12x21) w.r.t. 1x2 is-

A
1x2
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B
2x3
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C
x2
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D
2x
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Solution

The correct option is D 2x
ddx(sec1(12x21))=ddx(cos1(2x21))
=4x1(2x21)2=4x14x21+4x2
=4x4x24x4=2xx2x4=21x2
ddx(1x2)=2x21x2
Therefore derivative of sec1(12x21) w.r.t 1x2 is
=21x2×21x22x=2x

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